Continuity mistake: When the children are sleeping in the canteen at school, Bart is resting his head on a red sweater. In the close up of him and Lisa, the sweater has now turned dark green. It's not because of the dark that we see it like that because there is a bit of light at the beginning of the next shot and we see the jumper to be dark green.
New this month Continuity mistake: In "The Thing and I": After the kids have found Hugo in the attic, when Marge and Homer return home, both front door knobs (inside and outside) do not have backplates, but once Hugo escapes both door knobs have backplates. The two backplates vanish and reappear repeatedly in following shots. It's funny because when they leave to search for Hugo, Homer shuts the door with no backplates, but then Bart uses a key in the backplate to lock the front door.
New this month Continuity mistake: At Mo's, when Grizzly Shaun is talking to Smithers about Mr. Burns, Smithers is wearing a grey suit, but when Mr. Burns says "A good old fashioned lemon party", Smithers is wearing his usual outfit, which turns back to the grey suit in the very next shot.